Question

Rainas coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Raina $4.20 per pound, and type B coffee costs $5.65 per pound. This months blend used three times as many pounds of type B coffee as type A, for a total cost of $803.70. How many pounds of type A coffee were used?

Answer 1

The cost of type A coffee is $4.20 per pound and the cost of type B coffee is $5.65 per pound, approximately 38.05 pounds of type A coffee were used.

Step-by-step explanation:

Let's assume that the number of pounds of type A coffee used is x.

Since the blend used three times as many pounds of type B coffee as type A, the number of pounds of type B coffee used would be 3x.

, so the cost of x pounds of type A coffee would be $4.20x.

The cost of type B coffee is $5.65 per pound, so the cost of 3x pounds of type B coffee would be $5.65(3x).

The total cost of the blend is given as $803.70, so we can set up the equation:

$4.20x + $5.65(3x) = $803.70

Simplifying the equation:

$4.20x + $ 16.95x = $803.70

$21.15x = $803.70

Dividing both sides of the equation by $21.15:

x ≈ $803.70 ÷ $21.15

x ≈ 38.05

Therefore, approximately 38.05 pounds of type A coffee were used.